2001 AMC 10 - 2001 AMC 10 1 The median of the list n n 3 n 4 n 5 n 6 n 8 n 10 n 12 n 15 is 10 What is the mean(A 4(B 6(C 7(D 10(E 11 2 A number x is 2

2001 AMC 10 - 2001 AMC 10 1 The median of the list n n 3 n...

This preview shows page 1 - 3 out of 5 pages.

2001 AMC 10AMC 10 20011The median of the listn,n+ 3,n+ 4,n+ 5,n+ 6,n+ 8,n+ 10,n+ 12,n+ 15is 10. What is the mean? (A)4(B)6(C)7(D)10(E)11 2A numberxis 2 more than the product of its reciprocal and its additive inverse.In which interval does the number lie? 3The sum of two numbers isS. Suppose 3 is added to each number and theneach of the resulting numbers is doubled.What is the sum of the final twonumbers? 4What is the maximum number of possible points of intersection of a circle anda triangle? 5How many of the twelve pentominoes pictured below have at least one line ofsymettry? (A)3(B)4(C)5(D)6(E)7Contributors: #H34N1, Silverfalcon, mysmartmouth, worthawholebean, rrusczyk
2001 AMC 106LetP(n) andS(n) denote the product and the sum, respectively, of the digitsof the integern.For example,P(23) = 6 andS(23) = 5.SupposeNis atwo-digit number such thatN=P(N) +S(N). What is the units digit ofN? 7When the decimal point of a certain positive decimal number is moved fourplaces to the right, the new number is four times the reciprocal of the originalnumber. What is the original number?

You've reached the end of your free preview.

Want to read all 5 pages?

• Spring '16
• Math, Numerical digit, Decimal